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164351172 = 223171495407
BaseRepresentation
bin10011100101111…
…00110011000100
3102110020220102110
421302330303010
5314033214142
624150341020
74033650636
oct1162746304
9373226373
10164351172
1184854517
124705a770
132808511b
1417b82a56
15e66699c
hex9cbccc4

164351172 has 48 divisors (see below), whose sum is σ = 408844800. Its totient is φ = 51205632.

The previous prime is 164351153. The next prime is 164351183. The reversal of 164351172 is 271153461.

164351172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1643511722 = 54022615475547168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27693 + ... + 33099.

It is an arithmetic number, because the mean of its divisors is an integer number (8517600).

Almost surely, 2164351172 is an apocalyptic number.

164351172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164351172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

164351172 is an abundant number, since it is smaller than the sum of its proper divisors (244493628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164351172 is a wasteful number, since it uses less digits than its factorization.

164351172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 5578 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 164351172 is about 12819.9521059948. The cubic root of 164351172 is about 547.7607823357.

The spelling of 164351172 in words is "one hundred sixty-four million, three hundred fifty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 149 204 298 447 596 894 1788 2533 5066 5407 7599 10132 10814 15198 16221 21628 30396 32442 64884 91919 183838 275757 367676 551514 805643 1103028 1611286 2416929 3222572 4833858 9667716 13695931 27391862 41087793 54783724 82175586 164351172